General themes of the revision include the following (a detailed list of changes is also available):

Rewrite portions to increase readability without reducing level of mathematical rigor. This includes increasing clarity, improving organization, and building consistency.

Add applications, particularly in life science and earth science to broaden the scientific fields represented in the book. In particular, there are a number of new examples and exercises in climate science, an area that is currently drawing a lot of interest in the scientific community.

Add conceptual and graphical insights to assist student understanding in places where pitfalls and confusion often occurs.

Add diversity to the Historical Perspectives and historical marginal pieces.

Maintain threads throughout the book by previewing topics that come up later and revisiting topics that have been presented before.

Expand the perspective on curve sketching--beyond just sketching a curve using calculus tools--to include analyzing given curves using calculus tools. (This is an addition of some elements of the “reform” perspective on calculus instruction.)

“Tighten” the presentation of the mathematics in the text, improving rigor (without increasing the overall level of formality). This includes correcting previous errors and omissions.